نتایج جستجو برای: h olders inequality
تعداد نتایج: 584753 فیلتر نتایج به سال:
A large literature examines performance pay for managers in the private sector, but little is known about performance pay for managers in public sector bureaucracies. In this paper, we study performance incentives rewarding school administrators for reducing anemia among their students. Randomly assigning 170 schools to three performance incentive levels and two orthogonal sizes of unconditiona...
We provide a new relaxation of conditions under which the inequality H(A|B,X) +H(A|B,Y ) 6 H(A|B) holds for jointly distributed random variables A,B,X, Y . Then we present two applications of our result. The first one is the following easy-to-formulate combinatorial theorem: Assume that edges of a bipartite graph are partitioned into K matchings so that for each pair (left vertex x, right verte...
Abstract: This paper is concerned with the problem of H∞ filtering for continuous-time nonlinear quadratic systems. The aim is to design a full order dynamic filter that can also contain quadratic terms. The strategy relies on the use of a quadratic Lyapunov function and an inequality condition that assures an H∞ performance bound for the augmented quadratic system, composed by the original sys...
We determine the cases of equality in the Riesz rearrangement inequality ZZ f (y)g(x ? y)h(x) dydx ZZ f (y)g (x ? y)h (x) dydx where f , g , and h are the spherically decreasing rearrangements of the functions f , g, and h on R n. We apply our results to the weak Young inequality. The Riesz rearrangement inequality states that the functional I(f; g; h) := Z f gh dx = ZZ f(y)g(x?y)h(x) dydx (1:1...
Let Ω ⊂ R 2 be a smooth bounded domain, and H 1 0 (Ω) be the standard Sobolev space. Define for any p > 1, λp(Ω) = inf u∈H 1 0 (Ω),u ≡0 ∇u 2 2 /u 2 p , where · p denotes L p norm. We derive in this paper a sharp form of the following improved Moser-Trudinger inequality involving the L p-norm using the method of blow-up analysis: sup u∈H 1 0 (Ω),∇u 2 =1 Ω e 4π(1+αu 2 p)u 2 dx < +∞ for 0 ≤ α < λp...
We prove the local Hölder continuity of strong local minimizers of the stored energy functional E(u) = ∫ Ω λ|∇u|2 + h(det∇u) dx subject to a condition of ‘positive twist’. The latter turns out to be equivalent to requiring that u maps circles to suitably star-shaped sets. The convex function h(s) grows logarithmically as s → 0+, linearly as s → +∞, and satisfies h(s) = +∞ if s ≤ 0. These proper...
In what follows, V = {1, . . . , n} is the set of indices of given random variables X1, . . . , Xn, and B = {B1, . . . , Bm} is a set of subsets (possibly with repeat) of V . Furthermore, for S = {i1, . . . , il} ⊆ V , XS and H(XS) denote the random vector (Xi1 , . . . , Xil) and its Shannon entropy H(Xi1 , . . . , Xil) (H(X∅) = 0). The power set (the set of all subsets) and the set of all l-su...
It is now well recognized by the feed industry that dramatically increasing quantities of distillers dried grains with solubles (DDGS) are entering the ingredient market. For those interested in the history of this ingredient, a substantial scientific literature exists in both refereed journals and proceedings of conferences, particularly the Distillers Feed Conference. In 1970, Dr. M. L. Scott...
We derive inequality ∫ R |f ′(x)|ph(f(x))dx ≤ (√ p− 1 )p ∫ R (√ |f ′′(x)Th(f(x))| )p h(f(x))dx, where f belongs locally to Sobolev space W 2,1 and f ′ has bounded support. Here h(·) is a given function and Th(·) is its given transform, it is independent of p. In case when h ≡ 1 we retrieve the well known inequality: ∫ R |f ′(x)|pdx ≤ (√ p− 1 )p ∫ R (√ |f (x)f(x)| )p dx. Our inequalities have fo...
We also proved a softer version of statement 2 as cheeger’s inequality i.e. Cheeger’s Inequality: 1−λ2 2 ≤ h(G) ≤ √ 2(1− λ2) Note:The same results also hold for a weighted graph which is not d regular.In that case we define define a matrix of degrees D,with Dii=degree of vertex i= ∑ j w(i, j) and Dij = 0∀i 6= j.Then M is given by L=D−1/2AD−1/2.It may be noted that M = A d for a d-regular graph....
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